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Finding the Third Proportional to 46,520 and 100,006

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Solution

The third proportional to 46,520 and 100,006 is: 214,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,520 : 100,006 = 100,006 : x
  2. Step 2: Convert to fraction form
    46,520/100,006 = 100,006/x
  3. Step 3: Cross multiply
    46,520x = 100,006 × 100,006
  4. Step 4: Simplify right side
    46,520x = 10,001,200,036
  5. Step 5: Solve for x
    x = 10,001,200,036/46,520
  6. Step 6: Final answer
    x = 214,987.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.